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The problem of longitudinal shear corresponding to two periodic circular holes and having cracks is investigated in the paper. Round holes are reinforced with filler materials. The aim is to study the stress intensity factor at the tips of the cracks. For this, boundary conditions are defined along the contour of circular holes. The proposed methods for solving the problem under consideration consist of a combination of various analytical and numerical methods. The main ones are the method of singular integro-differential equations used to study the stress state in the final zone of the crack. The method of power series of Muskhelishvili, the method of reduction of infinite systems of linear algebraic equations, quadratic formulas, the Gaussian method with the selection of the main element. The problem is brought into the computational system, their implementation allows to obtain numerical data and on their basis the conclusions of interest to applications are drawn. At the same time, a 3D model of the issue under consideration was built. #CSOC1120.

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Modeling and Reporting of Crack-Weakened Fiber Composites Under Longitudinal Shear Using Mathematical Methods

  • 会议论文

  • 发表日期：

    2025年

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  • Rafail Mehtiyev,
  • Ali Musayev,
  • Javida Damirova

摘要

The problem of longitudinal shear corresponding to two periodic circular holes and having cracks is investigated in the paper. Round holes are reinforced with filler materials. The aim is to study the stress intensity factor at the tips of the cracks. For this, boundary conditions are defined along the contour of circular holes. The proposed methods for solving the problem under consideration consist of a combination of various analytical and numerical methods. The main ones are the method of singular integro-differential equations used to study the stress state in the final zone of the crack. The method of power series of Muskhelishvili, the method of reduction of infinite systems of linear algebraic equations, quadratic formulas, the Gaussian method with the selection of the main element. The problem is brought into the computational system, their implementation allows to obtain numerical data and on their basis the conclusions of interest to applications are drawn. At the same time, a 3D model of the issue under consideration was built. #CSOC1120.